Abstract : A specialized computer program has been assembled that can calculate the effects of a deformable axisymmetric projectile impacting a visco-elastic medium. An earlier Eulerian code, EVE, was designed to calculate the impact of a rigid projectile with a visco-elastic medium. Another existing code, the Lagrangian CRAM, capable of calculating the deformation of a multi-material projectile due to pressure loading along the projectile surface, was adapted to the calculation of projectile deformation. The LYNX code was developed by modifying and linking these EVE and CRAM codes so that the EVE code provides a pressure loading along the projectile surface and the CRAM code calculates the resultant deformation and motion of the projectile. This process is repeated, using realistic time steps, for as long as the problem is of interest. A discussion of the program and the user-supplied input is given in Volume I of this report. A test calculation in which a lead cylinder impacts gelatin is described and discussed. The results of this calculation agree with measurements made at the Ballistic Research Laboratories. A listing of the version of the program which is operational on the S3 Univac 1108 facility is given in Volume II. (Author)